Which ordered pair (a,b) is a solution to the given system of linear equations.

Which Ordered Pair (a,b) Is A Solution To The Given System Of Linear Equations.

Answers

Answer 1

Answer:

A. (-13,-3)

Step-by-step explanation:

Solve the system of two equations:

[tex]\left\{\begin{array}{l}-2a+3b=14\\a-4b=3\end{array}\right.[/tex]

From the second equation:

[tex]a=3+4b[/tex]

Substitute it into the first equation:

[tex]-2(3+4b)+3b=14\\ \\-6-8b+3b=14\\ \\-8b+3b=14+6\\ \\-5b=20\\ \\5b=-20\\ \\b=-4[/tex]

So,

[tex]a=3+4b=3+4\cdot (-4)=3-16=-13[/tex]

The solution is (-13,-4)

Answer 2

Answer:

A

Step-by-step explanation:


Related Questions

Dr. Cheeks tries to run at least 45 rotations on her hamster wheel each week. She has already run 6 rotations. Which inequality shows how many more rotations, r, she would have to run to meet her weekly goal?
A. r-6>45
B. r-6>45
C. r+6>45
D.r+6<45

Answers

Answer: C. r+6>45

Step-by-step explanation:

Since, Dr. Cheeks tries to run at least 45 rotations on her hamster wheel each week.

If she runs r rotations then, for the value of r,  [tex]45\leq r[/tex]

Since, If she has already 6 rotations

Therefore total rotation she has = r+6

Thus, if [tex]45\leq r[/tex] ⇒[tex]45<x+6[/tex]

So, Option C is the correct option.




The inequality of option C r+6 > 45 shows the rotations, r, she would have to run to meet her weekly goal.

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Dr. Cheeks tries to run at least 45 rotations on her hamster wheel each week.

She has already 6 rotations but if she runs r rotations then, for the value of r,  45 ≤ r

The total rotation she has = r+6

Thus,  45 ≤ r

= 45 < r + 6

or   r+6 > 45

So, Option C is the correct option.

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Archie is putting 24 books on 2 shelves. Each shelf holds 16 books.



How many more books can Archie put on the shelves?






Answers

Since each shelf can hold 16 books and there are 2 shelves, both shelves can hold a total of 32 books. Since he is already adding 24 books, he can add 32- 24 = 8 more books.
Archie can put 9 more books on the shelf

the sum of twice a number x and 13 is two less than three times x

Answers

This is a word problem which requires basic logic or understanding to solve. We can write the equation:

2 x + 13 = 3 x – 2

 

So calculate for x:

3 x – 2x = 13 + 2

x = 15


Therefore the number is 15.

two chipmunks were collecting acorns for the winter months. the older chipmunk gathered three times as many acorns as the younger chipmunk. together they collected 28 acorns. how many acorns did each chipmunk save for winter?

Answers

One of the chimpmunks saved 21 acorns and the other saved 7


I hope this helps!!!

(If I’m wrong plz tell me)

Which number(s) below belong to the solution set of the inequality? Check all that apply.x + 16 < 51.

A. 80
B. 35
C. 38
D. 32
E. 34
F. 16
please help me

Answers

If you subtract 16 on both sides... x will be alone. Therefore 51-16=35
x=35 (B)

That would be 32, 16 and 34.

In the trivia bowl, each finalist must answer four questions correctly. each question is worth twice as much as the question before it. the fourth is worth $6000. how much is the first question worth? select the appropriate answer.
a. $750
c. $900
b. $500
d. $1000

Answers

D. $1000 beacuse i say s

What is x if rs= 6, st=9, tu=7, uv=15,vr=14

Answers


When I leave home to walk to school2And what I think I've seen3Now, what can I say4And I've kept careful track5Just a broken down wagon6When Isay that i saw it on Mulberry St7The story would really be better to hear8A reindeer is better; he's fast and he's fleet9To pull a thing that runs on wheels10Jack or Fred of Joe or NAT-11Say! That makes a story that no one can beat12But he'd look simply grand13If a man sits and listens while hitched on behind14But now what worries me is this...15To guide them through where's traffic's thick-16And he raises his hat as they dash by the stand.17With a roar of its motor an airplane appears18A big magician doing tricks..19For I had a story that NO ONE could beat!20There was so much to tell, I JUST COULDN'T BEGIN!21"Nothing," I said, growing red as a beet

The perimeter of a rectangular field is 320 yd. the length is 80 yd longer than the width. find the dimensions.

Answers

Width= x
Length: 80+x 

p=2(l+w) 
320=2(80+x+x) 
320=2(80+2x) 
320=160+4x 
320-160=4x 
160=4x 
160/4=x
40yd=x 

The width is 40 yds and the length is 80+40=120 yards 

Hope I helped :)

The dimensions of a rectangular field is width = 40 yd and length = 120 yd.

What is a rectangle?

A rectangle is one of the types of quadrilaterals in which all four angles are right angles or equal to 90 degrees. It is four-sided polygon in which the opposite sides are parallel and equal to each other.

For the given situation,

Let the width of the rectangle, w = x

The length is 80 yd longer than the width.

The length of the rectangle, l = x + 80.

The perimeter of a rectangular field = 320 yd.

The formula of perimeter of rectangle is

[tex]P=2(w+l)[/tex]

On substituting the above values,

⇒ [tex]320=2(x+x+80)[/tex]

⇒ [tex]320=2(2x+80)[/tex]

⇒ [tex]2x+80=\frac{320}{2}[/tex]

⇒ [tex]2x+80=160[/tex]

⇒ [tex]2x=160-80[/tex]

⇒ [tex]2x=80[/tex]

⇒ [tex]x=\frac{80}{2}[/tex]

⇒ [tex]x=40[/tex]

Thus width = [tex]40[/tex] and

length = [tex]40+80[/tex]

⇒ [tex]120[/tex]

Hence we can conclude that the dimensions of a rectangular field is width = 40 yd and length = 120 yd.

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Is this true 1/2 >0.25

Answers

Yes, 1/2 is 0.50. So it is greater than 0.25.
Yes It’s always true because 0.25 is smaller than 0.5 which would be 1/2

Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?

Answers

from the information we have now we could write this equation: 

ax+by=z
where
a - number of times she played arcade
x- prize of arcade
b- number of times of Ferris wheel
y- prize of Ferris 
z- the whole allowance

so in order to make it a two-variable equasion we need to know the value of three more variables. 

If let's say we know a, b, and z we could solve the problem of how much cheaper/more expensive the arcade is than ferris wheel (we could find something like x=2y, for example ( we don't know yet, we need more variables) so we'd know that one game is more expensive than the other.

To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game u welcome

What's the answer of the photo I just sent you

Answers

The answer is 86 degrees.
You would just add 26 and 69.
m∠KLB+m∠BLM=26°+60°=86°

The sum of three consecutive integers is -255. what are they?

Answers

-84-85-86=-255 is your answer

Which of the following inequalities is shown in the graph

Answers

D.) y ≤ (5/2)x + 5

Check It
0≤(5/2)0+5
0≤0+5
0≤5

The inequality y ≤ [tex]\frac{5}{2}[/tex] x+5 represents the given graph. Therefore, option D is the correct answer.

What is an inequality?

In mathematics, inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.

From the graph the inequality intersect lines at (-2, 0) and (0, 5).

The graph is shaded below the line.

So, inequality y ≤ [tex]\frac{5}{2}[/tex] x+5.

The inequality y ≤ [tex]\frac{5}{2}[/tex] x+5 represents the given graph. Therefore, option D is the correct answer.

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If 3cot^2x - 5cotx = -2, then cotx = _____.
A. -2, -1/3
B. -1, -2/3
C. 1, 2/3
D. 2, 1/3

Answers

3cot²x - 5cotx = -2

Lets pretend cotx = t

3t² - 5t = -2
3t² - 5t + 2 = 0

factor polynomial
(3t-2)(t-1) = 0

3t-2 = 0
t-1 = 0

then "t" which is also cotx is equal to 1 or 2/3



which equation is an identity?

a. 11- (2v + 3) = -2v - 8
b. 5w + 8 - w = 6w - 2( w - 4)
c. 7m - 2 = 8m + 4 - m
d. 8y + 9 = 8y - 3

Answers

5w + 8 - w = 6w - 2(w - 4)

Hope this helps :)

Answer:

Option b - [tex]5w + 8 - w = 6w - 2( w - 4)[/tex]  

Step-by-step explanation:

To find : Which equation is an identity?    

Solution :

Option a - [tex]11- (2v + 3) = -2v - 8[/tex]          

If we open the parenthesis,

[tex]11- 2v -3 = -2v - 8[/tex]    

[tex]-2v+8\neq -2v - 8[/tex]    

No identity applied.

Option b - [tex]5w + 8 - w = 6w - 2( w - 4)[/tex]          

If we apply distributive property, [tex]a(b+c)=ab+ac[/tex]

[tex]5w + 8 - w = 6w - 2w+8[/tex]    

[tex]4w+8= 4w+8[/tex]    

Distributive identity is applied.

Option c - [tex]7m - 2 = 8m + 4 - m[/tex]          

Solve by subtracting in RHS

[tex]7m - 2 \neq 7m + 4[/tex]    

No identity applied.

Option d- [tex]8y + 9 = 8y - 3[/tex]          

This is not possible as [tex]8y + 9 \neq 8y - 3[/tex]

No identity applied.          

Therefore, Option b is correct.

Writing are the equations m + 3 = -5 and m = -2 equivalent? explain

Answers

m + 3 = -5
m = -5 - 3
m = - 8

and m = -2

no, they are not equivalent because they do not equal.

PLEASE HELP!!

What is the length of the midsegment of this trapezoid?

Enter your answer in the box.

Answers

Answer:

7 units

Step-by-step explanation:

The length of the midsegment of this trapezoid will be 7 units.

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The coordinates of the vertices of the trapezoid are,

A = (-2, 4)

B = (4, 3)

C = (4 , -5)

D = (- 2, - 2)

Now,

Since, We know that;

The length of the midsegment of a trapezoid is always equal to the half of the sum of the parallel sides.

Here, Line AD and BC are parallel lines.

And, The length of AD = √(- 2 - (-2))² + (- 2 - 4)²

                                   = √-6²

                                  = 6

And, The length of BC = √(4 - 4)² + (- 5 - 3)²

                                   = √-8²

                                   = 8

Thus, The length of the midsegment of this trapezoid = (6 + 8)/2

                                                                                    = 14/2

                                                                                    = 7 units.

Therefore, The length of the midsegment of this trapezoid will be 7 units.

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On wensday on a track myles run 7 laps for every 3 laps that elijah run on friday elijahrun 16 more laps than on wensday making the number of laps he run and myles run the same .how many laps did eligah run on wensday

Answers

the answer would be 31

Which of the following statements are true ?

Answers

answer is 
D. the segment DE is bisects segment AC
----------------

The true statements for the triangle ABC where DE is perpendicular to AC is given by option D. The segment DE bisects the segment AC.

In triangle ABC, B-D-C, and A-E-C, with E being perpendicular to AC and AE = EC.

A. The segment BD bisects the segment EC.

This statement is false. Since E is the midpoint of AC (AE = EC), and E is perpendicular to AC, B-D-C no relation.

B. The segment ED is congruent to the segment DC.

This statement is not necessarily true. We only know that AE = EC, which implies that DE = EC since E is the midpoint of AC. However, we don't have enough information to conclude that ED is congruent to DC.

C. The segment BD is perpendicular to the segment EC.

This statement is not necessarily true. While we know that E is perpendicular to AC, it does not imply that BD is perpendicular to EC.

The perpendicularity of BD and EC depends on the specific configuration of the triangle, and the given information is not sufficient to determine this relationship.

D. The segment DE bisects the segment AC.

This statement is true. Since E is the midpoint of AC (AE = EC), DE passes through E and will indeed bisect AC.

Therefore, the true statements for the given triangle is

option D. The segment DE bisects the segment AC.

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How would I do this? I'll give brainliest!

Make a table of ordered pairs for the equation.
y = 1/2x − 3
Then plot two points to graph the equation.

Answers

Just plug in 1 and 2 for x and it will give you y then write it as (x,y) cordinates
You plug in the value for x so you can get Y and that should be a coordinate point . X,y

Four friends purchase 18.4 pounds of peaches. The peaches cost $1.75 per pound. The friends share the cost of the peaches equally. What amount does each person pay? $4.60 $8.05 $24.15 $32.20

Answers

To find the amount that each of the 4 friends paid for the peaches, you should first calculate the total cost of the peaches, then divide by the numer of friends (4).

First, let's calculate the total cost of the peaches.

18.4 pounds × $1.75/pound = $32.20

Now, divide by the number of people who were contributing to the cost of the peaches (there are 4) -

$32.20 ÷ 4 = $8.05

The correct answer is $8.05.

a. Write an expression that represents the following expression using the variable b: "Billy's age in 8 years." b. Write an equation using the expression above if in 8 years Billy will be 21 years old. c. How old is Billy now? d. Write and solve a word problem that matches the equation: a - 6 = 10.

Answers

a. b+8
b. b+8=21
c. b=21-8=13 Billy is 13 now
d. Ann was ten years old six years ago. How old is she now? a-6=10, a=16. Ann is 16 now.

Answer:

"Billy's age in 8 years", this refers to a future age, which implies adding 8 years to the present age. The expression would be:

[tex]B+8[/tex]

"In 8 years Billy will be 21 years", this expression, using the first one too, would be:

[tex]B+8=21[/tex]

How old is Billy now?

The answer to this question is the solution of the second equation:

[tex]B+8=21\\B=21-8=13[/tex]

Billy is 13 years old now.

A problem for the expression [tex]A-6=10[/tex] could be:

Six years ago Adam was 10 years old.

The six years in the past refers subtracting, and the age back then is the result of that difference.

the tour boats at the Laguna can carry 8 passengers. jacob watched 6 floats by. one of the board has 2 empty seats. the other were full. how many passengers were on the 6 boats?

Answers

46 passengers is the answer to your problem

Evaluate the expression 3(7 + 4)2 − 14 ÷ 7. (5 points)


50

361

363

586

Do not just give me the answer, walk me through it. I am literally so shallow minded when it comes to Algebra and I am trying really hard to understand it.

Answers

3(7 + 4)2 − 14 ÷ 7

First do the parenthesis

7 + 4 = 11

so the question looks like: 3(11)2 - 14/7

Then multiply 3, 11, and 2 together

3 x 11 x 2 = 66

66 - 14/7

14/7 equals to 2

66 - 2 

Then just simplify

66 - 2 = 64

64 is your answer

hope this helps
I am assuming that (7 + 4)2 means (7 + 4)^2. The 2 is an exponent.

You must follow the correct order of operations.
PEMDAS
P - parentheses first
E - then Exponents
MD - then Multiplications and Divisions in the order they appear from left to right
AS - then Additions and Subtractions in the order they appear from left to right

3(7 + 4)^2 − 14 ÷ 7

Parentheses first:
3(11)^2 - 14 ÷ 7

Now the exponent:
3(121) - 14 ÷ 7

Now multiplications and division from left to right:
363 - 2

Finally additions and subtractions from left to right:
361




Please help! Thank you!

Answers

Hello,

The dilatation inverse direction : scale factor k is negative.

k*12=-3==>k=-3/12=-1/4=-0.25
Answer B

Point A is located at –24 and point C is located at 36 on the number line below. Which value would represent point B, halfway between point A and point C?

Answers

To find the midway point of 2 numbers, we find their sum and divide that by 2. For this, we add -24 and 36 ( which amounts to 12) and divide that by 2, meaning that midpoint B is 12/2=6

Answer:

Point B will be 6

Step-by-step explanation:

We have point A= -24 and point B = 36, we want to know point B which is halfway between points A and C.

To find the middle between two points we have to add the two numbers and divide them by 2:

We would have:

(A+C)/2

We substitute the values of A and C:

B = (-24+36)/2

B = 12/2

B = 6.

We can also write this on a number line and get point B by counting how many numbers there are in between point A and C, and this result divides it by 2. This is in the attachment.

A box containing 4 identical books weighs 5kg. if the weight of the box is 600g, what is the weight of each book? answer key

Answers

5kg=5000g
5000g-600g=4400g
4400g/4=1100g

So your answer is 1,100 grams.

Answer:

1100 grams

Step-by-step explanation:

"the sum of the squares of two consecutive odd integers is 2594. find the two integers."

Answers

Final answer:

To find two consecutive odd integers whose squares sum to 2594, a quadratic equation is set up and solved, revealing that the integers are 35 and 37.

Explanation:

To solve for two consecutive odd integers whose squares sum to 2594, we can set up equations based on the characteristics of odd integers. Let the smaller integer be n, then the next consecutive odd integer would be n + 2.

The equation based on the sum of the squares of the two numbers is then:

n2 + (n + 2)2 = 2594

Solving this equation:

n2 + n2 + 4n + 4 = 25942n2 + 4n - 2590 = 0n2 + 2n - 1295 = 0

Solving the quadratic equation we find that n = 35 and n + 2 = 37. Hence, the two consecutive odd integers are 35 and 37.

Which expression is equivalent to the expression −2\3 (3- 1\2) (-1)?

Question 3 options:

-2 + 1\3 + 2\3

2 - 1\3

-2 +1\3-1

2 + 1\3

Answers

The Answer Is B.2-1/3








                                    Hope It Helps Mark Me The Brainlyest

Final answer:

The expression −2/3(3-1/2)(-1) is equivalent to -5/3.

Explanation:

To simplify the expression −2/3(3-1/2)(-1), we can start by simplifying the expressions within the parentheses.

3-1/2 = 6/2 - 1/2 = 5/2

Next, we can multiply the expression −2/3(5/2)(-1).

−2/3(5/2)(-1) = -2/3 * 5/2 * -1 = -10/6 = -5/3

Therefore, the expression is equivalent to -5/3.

The probability that an individual is left-handed is 0.16. in a class of 10 students, what is the mean and standard deviation of the number of left-handers in the class?

Answers

0.16+678%-4635+(8886+253434+77)

Using the binomial distribution, it is found that:

The mean of the number of left-handers in the class is of 1.6.The standard deviation of the number of left-handers in the class is 1.16.

For each student, there are only two possible outcomes, either they are left-handers, or they are not. The probability of a student being a left-hander is independent of any other student, hence the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value is:

[tex]E(X) = np[/tex]

The standard deviation is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

In this problem:

The probability that an individual is left-handed is 0.16, hence [tex]p = 0.16[/tex].The class has 10 students, hence [tex]n = 10[/tex]

Then:

[tex]E(X) = np = 10(0.16) = 1.6[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{10(0.16)(0.84)} = 1.16[/tex]

You can learn more about the binomial distribution at https://brainly.com/question/24863377

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